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Singularities in Geometry and Topology
Singularity theory appears in numerous branches of mathematics, as well as in many emerging areas such as robotics, control theory, imaging, and various evolving areas in physics. The purpose of this proceedings volume is to cover recent developments in singularity theory and to introduce young researchers from developing countries to singularities in geometry and topology. The contributions discuss singularities in both complex and real geometry. As such, they provide a natural continuation of the previous school on singularities held at ICTP (1991), which is recognized as having had a major influence in the field.
Hasse-Schmidt Derivations on Grassmann Algebras
This book provides a comprehensive advanced multi-linear algebra course based on the concept of Hasse-Schmidt derivations on a Grassmann algebra (an analogue of the Taylor expansion for real-valued functions), and shows how this notion provides a natural framework for many ostensibly unrelated subjects: traces of an endomorphism and the Cayley-Hamilton theorem, generic linear ODEs and their Wronskians, the exponential of a matrix with indeterminate entries (Putzer's method revisited), universal decomposition of a polynomial in the product of two monic polynomials of fixed smaller degree, Schubert calculus for Grassmannian varieties, and vertex operators obtained with the help of Schubert cal...
ESTRUTURAS ALGÉBRICAS
Esta obra começa com uma revisão das noções básicas sobre conjuntos, relações, funções e aritmética dos inteiros. Reunimos todos os resultados e notações que serão necessários ao longo do livro para, em seguida, estudarmos grupos, anéis e módulos. Os exemplos aqui apresentados são fundamentais para compreender os resultados e mostrar a necessidade das hipóteses nas proposições e nos teoremas. Todos os capítulos trazem listas de exercícios de vários graus de dificuldade. O objetivo é apresentar todos os conceitos e resultados na forma mais natural possível para que o leitor possa compreender a motivação e a razão de cada um. Dessa maneira, acreditamos que este livr...
Geometry of Algebraic Curves
The second volume of the Geometry of Algebraic Curves is devoted to the foundations of the theory of moduli of algebraic curves. Its authors are research mathematicians who have actively participated in the development of the Geometry of Algebraic Curves. The subject is an extremely fertile and active one, both within the mathematical community and at the interface with the theoretical physics community. The approach is unique in its blending of algebro-geometric, complex analytic and topological/combinatorial methods. It treats important topics such as Teichmüller theory, the cellular decomposition of moduli and its consequences and the Witten conjecture. The careful and comprehensive presentation of the material is of value to students who wish to learn the subject and to experts as a reference source. The first volume appeared 1985 as vol. 267 of the same series.
Mathematical Reviews
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Ver, fazer e viver cinema
O cinema é, muitas vezes, definido como uma linguagem marcada pela "imagem em movimento". Tal definição traduz questão essencial dessa linguagem/arte: o fato de pertencer à modernidade, ou seja, ao processo histórico profundamente relacionado à aceleração das experiências humanas e, mediante isso, à transformação da percepção que homens e mulheres passaram a ter sobre o tempo e o espaço, especialmente a contar do século XIX. Contudo, responsáveis por enorme revolução cultural no século XX, os filmes reuniram em si mesmos as outras artes já conhecidas (a dança, o teatro, a música, a literatura, a pintura e a escultura) e, cada vez mais, deixaram de ser meros "registros...
Combined Membership List
Lists for 19 include the Mathematical Association of America, and 1955- also the Society for Industrial and Applied Mathematics.
